袁海荣，男，博士

教育经历

1998.9-2001.6 复旦大学数学系，学士

2001.9-2006.6 复旦大学数学科学学院，硕士，博士

工作经历

2006.7-2008. 6 华东师范大学数学系，博士后

2008.7-2008.12 华东师范大学数学系，讲师

2009.1-2014.12 华东师范大学数学系，副教授（2014年6月获得博士研究生指导教师资格）

2015.1 华东师范大学数学系，教授

讲授课程

《高等数学》

研究方向

激波及双曲守恒律方程

科研项目

1、2019.1-2022.12（主持）面上项目“高维激波致稳机制及守恒律方程测度值解的数学研究”，由中国国家自然科学基金委员会资助（批准号11871218）

2、2014.1-2017.12（主持）面上项目“有关跨音速激波及接触间断的若干偏微分方程问题”，由中国国家自然科学基金委员会资助（批准号11371141）

3、2010.1-2012.12（主持）青年科学基金项目“跨音速流、激波与含几何效应的混合型偏微分方程”，由中国国家自然科学基金委员会资助（批准号10901052）

代表性论文

1、Yuan, Hai Rong A note on a mixed boundary value problem for the Laplace equation. (Chinese) Acta Math. Sinica (Chin. Ser.) 46 (2003), no. 6, 1091–1096.

2、Yuan, Hairong On transonic shocks in two-dimensional variable-area ducts for steady Euler system. SIAM J. Math. Anal. 38 (2006), no. 4, 1343–1370 (electronic).

3、Yuan, Hairong Transonic shocks for steady Euler flows with cylindrical symmetry. Nonlinear Anal. 66 (2007), no. 8, 1853–1878.

4、Chen, Shuxing; Yuan, Hairong Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems. Arch. Ration. Mech. Anal. 187 (2008), no. 3, 523–556.

5、Yuan, Hairong A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows. Nonlinear Anal. Real World Appl. 9 (2008), no. 2, 316–325.

6、Yuan, Hairong Examples of steady subsonic flows in a convergent-divergent approximate nozzle. J. Differential Equations 244 (2008), no. 7, 1675–1691.

7、Liu, Li; Yuan, Hairong Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. J. Hyperbolic Differ. Equ. 5 (2008), no. 2, 347–379.

8、Yuan, Hairong; He, Yue Transonic potential flows in a convergent-divergent approximate nozzle. J. Math. Anal. Appl. 353 (2009), no. 2, 614–626.

9、Chen, Gui-Qiang; Yuan, Hairong Uniqueness of transonic shock solutions in a duct for steady potential flow. J. Differential Equations 247 (2009), no. 2, 564–573.

10、Liu, Li; Yuan, Hairong Global uniqueness of transonic shocks in divergent nozzles for steady potential flows. SIAM J. Math. Anal. 41 (2009), no. 5

11、Liu, Pan; Yuan, Hairong Uniqueness and instability of subsonic-sonic potential flow in a convergent approximate nozzle. Proc. Amer. Math. Soc. 138 (2010), no. 5, 1793–1801.

12、Liu, Li; Yuan, Hairong Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles. Z. Angew. Math. Phys. 62 (2011), no. 4, 641–647.

13、Fang, Beixiang; Wang, Ya-Guang; Yuan, Hairong Reflection and refraction of shocks on an interface with a reflected rarefaction wave. J. Math. Phys. 52 (2011), no. 7, 073702, 14 pp.

14、Yuan, Hairong Persistence of shocks in ducts. Nonlinear Anal. 75 (2012), no. 9, 3874–3894.

15、Fang, Beixiang; Liu, Li; Yuan, Hairong Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows. Arch. Ration. Mech. Anal. 207 (2013), no. 1, 317–345.

16、Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. J. Math. Phys. 54 (2013), no. 2, 021506, 24 pp.

17、Chen, Gui-Qiang G.; Yuan, Hairong Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. Commun. Pure Appl. Anal. 12 (2013), no. 6, 2515–2542.

18、Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Z. Angew. Math. Phys. 64 (2013), no. 6, 1711–1727.

19、Liu, Li; Yuan, Hairong Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Calculus of Variations and Partial Differential Equations. 49 (2014), no.1-2, 1–36.

20、Wang, Ya-Guang; Yuan, Hairong. Weak Stability of Transonic Contact Discontinuities in Three-Dimensional Steady Non-isentropic Compressible Euler Flows Z. Angew. Math. Phys. 66(2015), no. 2, 341–388. (DOI: 10.1007/s00033-014-0404-y)

21、Liu, Li; Xu, Meng; Yuan, Hairong. A mixed boundary

22、Kukreja, Vaibhav; Yuan, Hairong; Zhao, Qiuju. Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows. J. Differential Equations 258 (2015), no. 7, 2572–2617.

23、Xu, Meng; Liu, Li; Yuan, Hairong. On Tricomi problem of Chaplygin's hodograph equation. Abstr. Appl. Anal. 2015, Art. ID 754781, 11 pp.

24、Liu, Li; Xu, Gang; Yuan, Hairong. Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations. Adv. Math. 291 (2016), 696–757.

25、Ding, Min; Yuan, Hairong Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Discrete Contin. Dyn. Syst. 38 (2018), no. 6, 2911–2943.

26、Xu, Gang; Yuan, Hairong. Global uniqueness of steady subsonic Euler flows in three-dimensional ducts. Appl. Anal. 97 (2018), no. 16, 2818–2829.

27、Yuan, Hairong. Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions. Acta Math. Scientia. 39B (2019), no.2, 403-412.

28、Qu, Aifang; Yuan, Hairong. Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas. J. Math. Anal. Appl. 481 (2020), no. 1, 123486.

联系方式

Email：hryuan@math.ecnu.edu.cn